Some regularity theorems in riemannian geometry
Annales scientifiques de l'École Normale Supérieure, Serie 4, Volume 14 (1981) no. 3, pp. 249-260.
@article{ASENS_1981_4_14_3_249_0,
     author = {Deturck, Dennis M. and Kazdan, Jerry L.},
     title = {Some regularity theorems in riemannian geometry},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {249--260},
     publisher = {Elsevier},
     volume = {Ser. 4, 14},
     number = {3},
     year = {1981},
     doi = {10.24033/asens.1405},
     mrnumber = {83f:53018},
     zbl = {0486.53014},
     language = {en},
     url = {http://archive.numdam.org/articles/10.24033/asens.1405/}
}
TY  - JOUR
AU  - Deturck, Dennis M.
AU  - Kazdan, Jerry L.
TI  - Some regularity theorems in riemannian geometry
JO  - Annales scientifiques de l'École Normale Supérieure
PY  - 1981
SP  - 249
EP  - 260
VL  - 14
IS  - 3
PB  - Elsevier
UR  - http://archive.numdam.org/articles/10.24033/asens.1405/
DO  - 10.24033/asens.1405
LA  - en
ID  - ASENS_1981_4_14_3_249_0
ER  - 
%0 Journal Article
%A Deturck, Dennis M.
%A Kazdan, Jerry L.
%T Some regularity theorems in riemannian geometry
%J Annales scientifiques de l'École Normale Supérieure
%D 1981
%P 249-260
%V 14
%N 3
%I Elsevier
%U http://archive.numdam.org/articles/10.24033/asens.1405/
%R 10.24033/asens.1405
%G en
%F ASENS_1981_4_14_3_249_0
Deturck, Dennis M.; Kazdan, Jerry L. Some regularity theorems in riemannian geometry. Annales scientifiques de l'École Normale Supérieure, Serie 4, Volume 14 (1981) no. 3, pp. 249-260. doi : 10.24033/asens.1405. http://archive.numdam.org/articles/10.24033/asens.1405/

[BJS] L. Bers, F. John and M. Schechter, Partial Differential Equations, John Wiley, 1964 (later reprinted by Amer. Math. Soc.). | MR | Zbl

[CH] E. Calabi and P. Hartman, On the Smoothness of Isometries (Duke Math. J., Vol. 37, 1970, pp. 741-750). | MR | Zbl

[C] E. Cartan, Sur la possibilité de plonger un espace riemannien donné dans un espace euclidien (Ann. Soc. Pol. Math., Vol. 6, 1927, pp. 1-17). | JFM

[D1] D. Deturck, Metrics With Prescribed Ricci Curvature [Proceedings of I.A.S. Differential Geometry Seminar, 1979-1980 (to appear in Annals of Math. series)].

[D2] D. Deturck, Existence of Metrics With Prescribed Ricci Curvature : Local Theory (to appear).

[E] A. Einstein, Näherungsweise Integration der Feldgleichungen der Gravitation (S.-B. Preuss. Akad. Wiss., 1916, pp. 688-696). | JFM

[FM] A. Fischer and J. Marsden, General Relativity, Partial Differential Equations, and Dynamical Systems (Proc. Symp. Pure Math., Vol. 28 ; Amer. Math. Soc., 1973, pp. 309-327). | MR | Zbl

[GW] R. Greene and H. Wu, Embedding of Open Riemannian Manifolds by Harmonic Functions (Ann. Inst. Fourier, Grenoble, Vol. 25, 1975, pp. 215-235). | Numdam | MR | Zbl

[H] P. Hartman, On Geodesic Coordinates (American J. Math., Vol. 73, 1951, pp. 949-954). | MR | Zbl

[J] M. Janet, Sur la possibilité de plonger un espace riemannien donné dans un espace euclidien (Ann. Soc. Pol. Math., Vol. 5, 1926, pp. 38-42). | JFM

[K] J. Kazdan, Another Proof of Bianchi's Identity in Riemannian Geometry (to appear in Proc. Amer. Math. Soc., 1981). | MR | Zbl

[KW] J. Kazdan and F. Warner, Curvature Functions for Open 2-Manifolds (Ann. Math., Vol. 199, 1974, pp. 203-219). | MR | Zbl

[KN] S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, Vol. I, Interscience, New York, 1964. | Zbl

[L] C. Lanczos, Ein Vereinfachendes Koordinatensystem für die Einsteinschen Gravitationsgleichungen (Phys. Z., Vol. 23, 1922, pp. 537-539). | JFM

[M] B. Malgrange, Sur l'intégrabilité des structures presque-complexes (Symposia Math., Vol. II, I.N.D.A.M., Rome, 1968, Academic Press, London, 1969, pp. 289-296). | MR | Zbl

[Mo] C. Morrey, Jr., Multiple Integrals in the Calculus of Variations (Grund. der Math. Wiss., Vol. 133, Springer-Verlag, New York, 1966). | Zbl

[My] S. D. Myers, Riemannian Manifolds in the Large (Duke Math. J., Vol. 1, 1935, pp. 39-49). | JFM | Zbl

[S] M. Spivak, A Comprehensive Introduction to Differential Geometry, Vol. 5, Publish or Perish, 1975. | Zbl

Cited by Sources: